Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '40.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 220, 'aut_gen_orders': [20, 10, 110, 22, 2], 'aut_gens': [[1, 10, 440], [2096, 3705, 120], [4481, 290, 3520], [341, 2430, 3520], [3961, 670, 440], [221, 230, 440]], 'aut_group': '96800.d', 'aut_hash': 294072648738705471, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 96800, 'aut_permdeg': 165, 'aut_perms': [26887946357653327241919148376253960444964022953138881121333315167910851311237867638038508343465278855659645917427530697090111809679564608748147464654050491784112815885876632924968018340763611690419883380376125912300262505652159382861957026655810145838830454635269673523792964937577420279568279968, 45218011907048703712051986986263762600117712875873128998548619681013196469375015119623644852776040829314915755153247393033675653543430063694457915993210389439853808848227275051750837185161242785325718947707044688212272577065435505667920502489873466679110161859908749148463506255464073262463859336, 38804492585931380036582806648894497960821707135705847181491642084534277657033873394823421085503835223367101023023256467531885005898839739840069379940178811818988434477173282493124281903817404115674587689213543420297395951963065342911101209974288416846001820565724013670480660081222430839967838530, 43020247475021036792991440138988702497866459851190255727113227363103116822106904383358202187815098708364779534492541963036444989260345217518957567680844824740500910246350740517399261163518835885564349158515104699908916872119846847609989060027649267184602860487916036806354429789017444965732236461, 14147136261014988421890402711149064071342216845866825911841715028956230240199386483335367978890651896136823671402361484980504720917058404237079924415650030869333919428965424770671007917279117087975448946058861999286457879673780519343577299561575244122910768792830593690339809263818563261], 'aut_phi_ratio': 55.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 121, 2, 1], [4, 11, 4, 1], [5, 121, 1, 4], [10, 121, 1, 4], [10, 121, 2, 4], [11, 10, 2, 1], [11, 20, 5, 1], [20, 121, 4, 4], [22, 10, 2, 1], [22, 20, 5, 1], [44, 110, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_{11}^2:D_4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 220, 'autcentquo_group': '24200.bg', 'autcentquo_hash': 3957277396302200749, 'autcentquo_nilpotent': False, 'autcentquo_order': 24200, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_{11}\\wr C_2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 121, 2], [4, 11, 4], [5, 121, 4], [10, 121, 12], [11, 10, 2], [11, 20, 5], [20, 121, 16], [22, 10, 2], [22, 20, 5], [44, 110, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '2420.x', 'commutator_count': 1, 'commutator_label': '121.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '5.1', '11.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 28, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 121, 1, 2], [4, 11, 2, 2], [5, 121, 4, 1], [10, 121, 4, 3], [11, 10, 1, 2], [11, 20, 1, 5], [20, 121, 8, 2], [22, 10, 1, 2], [22, 20, 1, 5], [44, 110, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 220, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[20, 1, 5]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '2420.x', 'hash': 3459893620231323134, 'hyperelementary': 1, 'id': 463502, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 22, 11], 'inner_gens': [[1, 2810, 2200], [2481, 10, 4400], [3081, 890, 440]], 'inner_hash': 3244222575460283753, 'inner_nilpotent': False, 'inner_order': 2420, 'inner_split': True, 'inner_tex': 'D_{11}:F_{11}', 'inner_used': [1, 2], 'irrC_degree': 20, 'irrQ_degree': 20, 'irrQ_dim': 20, 'irrR_degree': 20, 'irrep_stats': [[1, 40], [10, 8], [20, 10]], 'label': '4840.bb', 'linC_count': 17, 'linC_degree': 20, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 5, 'linQ_dim': 20, 'linQ_dim_count': 5, 'linR_count': 5, 'linR_degree': 20, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C11:(C4*F11)', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 25, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 58, 'number_divisions': 28, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 46, 'number_subgroup_classes': 114, 'number_subgroups': 2684, 'old_label': None, 'order': 4840, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 243], [4, 44], [5, 484], [10, 1452], [11, 120], [20, 1936], [22, 120], [44, 440]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 20, 'outer_gen_orders': [10, 2, 2], 'outer_gen_pows': [0, 2, 0], 'outer_gens': [[221, 2510, 3520], [2096, 2225, 160], [221, 3730, 4400]], 'outer_group': '40.8', 'outer_hash': 8, 'outer_nilpotent': False, 'outer_order': 40, 'outer_permdeg': 9, 'outer_perms': [56887, 11536, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_5:D_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 4], [8, 2], [10, 4], [20, 12]], 'representations': {'PC': {'code': '1559576732850775616851097645465320498243561244934095030099', 'gens': [1, 3, 6], 'pres': [6, -2, -5, -2, -2, -11, -11, 12, 1327, 50582, 14138, 50, 8163, 729, 69, 7204, 1810, 79205, 23771, 15857]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [18418977602547828, 39041701844509573, 42218820227238581, 7265543269142274, 40451685466516614, 41772741070013040]}, 'Perm': {'d': 26, 'gens': [15566290944817027911473716, 16159914175745343942541805]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}:(C_4\\times F_{11})', 'transitive_degree': 44, 'wreath_data': None, 'wreath_product': False}